11409939869760 has 672 divisors, whose sum is σ = 42625825482240. Its totient is φ = 2792035713024.

The previous prime is 11409939869719. The next prime is 11409939869767. The reversal of 11409939869760 is 6796893990411.

It is a happy number.

11409939869760 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 99 + 398 + 6 + 97 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11409939869767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249445612 + ... + 249491348.

It is an arithmetic number, because the mean of its divisors is an integer number (63431287920).

Almost surely, 2^{11409939869760} is an apocalyptic number.

11409939869760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11409939869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21312912741120).

11409939869760 is an abundant number, since it is smaller than the sum of its proper divisors (31215885612480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11409939869760 is a wasteful number, since it uses less digits than its factorization.

11409939869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45923 (or 45910 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 11409939869760 in words is "eleven trillion, four hundred nine billion, nine hundred thirty-nine million, eight hundred sixty-nine thousand, seven hundred sixty".